Finite Group Databasebeta

← #7657380

Subgroups — #7657380

Order 512.

5476 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42625C212yesmaximal, complemented
2#42624C212yesmaximal, complemented
3#42571C212yesmaximal, complemented
4#42564C212yesmaximal, complemented
5#40727C214yesmaximal, complemented
6#40722C214yesmaximal, complemented
7#40702C214yesmaximal, complemented
8#40699C214yesmaximal, complemented
9#39479C211yesmaximal, characteristic, complemented
10#39351C211yesmaximal, characteristic, complemented
11#39201C211yesmaximal, characteristic, complemented
12#39194C211yesmaximal, characteristic, complemented
13#38125C212yesmaximal, complemented
14#38110C212yesmaximal, complemented
15#37852C212yesmaximal, complemented
16#37664C212yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37505C212yesmaximal, complemented
20#37492C212yesmaximal, complemented
21#36289C211yesmaximal, characteristic, complemented
22#36261C211yesmaximal, characteristic, complemented
23#36154C211yesmaximal, characteristic, complemented
24D4×#121C211yesmaximal, characteristic
25#35903C212yesmaximal, complemented
26#35873C212yesmaximal, complemented
27#35836C212yesmaximal, complemented
28#35713C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35260C212yesmaximal, complemented
31#34619C211yesmaximal, characteristic, complemented
32C2×#2624C212yesmaximal, complemented
33#34332C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×D42C2211yescharacteristic
39C2×D42C2212yes—
40C2×#542C2212yescomplemented
41C22×#121C2212yes—
42C2×#518C2212yes—
43C22×C4×D4C2211yescharacteristic
44C22×#117C2212yescomplemented
45#2859C2211yescharacteristic, complemented
46#2858C2211yescharacteristic, complemented
47#2857C2211yescharacteristic, complemented
48#2857C2212yescomplemented
49#2856C2211yescharacteristic
50#2850C2212yescomplemented
51#2848C2212yescomplemented
52#2847C2212yes—
53#2838C2214yescomplemented
54#2837C2214yescomplemented
55#2832C2214yescomplemented
56#2830C2214yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2801C2214yescomplemented
60#2801C2214yescomplemented
61#2800C2214yescomplemented
62#2796C2214yescomplemented
63#2779C2214yescomplemented
64#2777C2214yescomplemented
65#2754C2214yescomplemented
66#2751C2214yescomplemented
67#2746C2214yescomplemented
68#2741C2214yescomplemented
69#2739C2214yescomplemented
70#2737C2214yescomplemented
71#2730C2214yescomplemented
72#2723C2214yescomplemented
73#2717C2214yescomplemented
74#2712C2214yescomplemented
75#2710C2214yescomplemented
76#2705C2214yescomplemented
77#2702C2214yescomplemented
78#2701C2214yescomplemented
79#2691C2214yescomplemented
80#2686C2214yescomplemented
81#2672C2214yescomplemented
82#2672C2214yescomplemented
83#2663C2214yescomplemented
84#2662C2214yescomplemented
85#2654C2212yescomplemented
86#2653C2212yescomplemented
87#2652C2214yescomplemented
88#2651C2214yescomplemented
89#2650C2212yescomplemented
90#2649C2212yescomplemented
91#2647C2211yescharacteristic, complemented
92#2645C2211yescharacteristic, complemented
93#2644C2212yescomplemented
94#2644C2211yescharacteristic, complemented
95#2644C2212yescomplemented
96#2643C2214yescomplemented
97#2641C2212yescomplemented
98#2640C2211yescharacteristic, complemented
99#2639C2214yescomplemented
100#2632C2214yescomplemented
101#2630C2214yescomplemented
102#2628C2212yescomplemented
103#2628C2212yescomplemented
104#2628C2211yescharacteristic, complemented
105#2626C2214yescomplemented
106#2625C2211yescharacteristic, complemented
107#2624C2212yes—
108#2624C2211yescharacteristic
109#2624C2212yescomplemented
110#2624C2212yescomplemented
111#2624C2214yescomplemented
112#2624C2214yescomplemented
113#2624C2212yescomplemented
114#2624C2212yescomplemented
115#2624C2214yescomplemented
116#2624C2214yescomplemented
117#2624C2212yescomplemented
118#2624C2212yescomplemented
119#2624C2212yescomplemented
120#2622C2214yescomplemented
121#2620C2211yescharacteristic
122#2620C2212yescomplemented
123#2591C2214yescomplemented
124#2584C2212yescomplemented
125#2583C2214yescomplemented
126#2580C2212yescomplemented
127#2564C2214yescomplemented
128#2563C2211yescharacteristic, complemented
129#2563C2211yescharacteristic, complemented
130#2562C2212yescomplemented
131#2552C2211yescharacteristic, complemented
132#2551C2211yescharacteristic, complemented
133#2550C2212yescomplemented
134#2549C2214yescomplemented
135#2548C2212yescomplemented
136#2548C2211yescharacteristic, complemented
137#2542C2212yescomplemented
138#2541C2211yescharacteristic
139#2538C2211yescharacteristic, complemented
140#2537C2211yescharacteristic
141#2513C2212yescomplemented
142#2513C2212yescomplemented
143#2512C2212yescomplemented
144#2512C2212yescomplemented
145#2510C2214yescomplemented
146#2510C2214yescomplemented
147#2509C2212yescomplemented
148#2504C2212yescomplemented
149#2500C2212yescomplemented
150#2496C2212yescomplemented
151#2495C2212yescomplemented
152#2495C2212yescomplemented
153#2494C2212yescomplemented
154#2494C2212yescomplemented
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2491C2212yescomplemented
158#2491C2212yescomplemented
159#2490C2212yescomplemented
160#2490C2212yescomplemented
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2487C2214yescomplemented
164#2487C2212yescomplemented
165#2485C2212yescomplemented
166#2481C2214yescomplemented
167#2480C2214yescomplemented
168#2480C2214yescomplemented
169#2480C2214yescomplemented
170#2479C2214yescomplemented
171#2477C2214yescomplemented
172#2474C2214yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2472C2214yescomplemented
178#2472C2214yescomplemented
179#2470C2214yescomplemented
180#2454C2212yescomplemented
181#2454C2212yescomplemented
182#2454C2212yescomplemented
183#2452C2212yescomplemented
184#2450C2214yescomplemented
185#2449C2214yescomplemented
186#2449C2214yescomplemented
187#2448C2212yescomplemented
188#2448C2212yescomplemented
189#2447C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2444C2214yescomplemented
193#2443C2214yescomplemented
194#2442C2212yescomplemented
195#2441C2212yescomplemented
196#2441C2212yescomplemented
197#2440C2212yescomplemented
198#2440C2212yescomplemented
199#2437C2214yescomplemented
200#2437C2214yescomplemented
201#2437C2214yescomplemented
202#2435C2214yescomplemented
203#2435C2212yescomplemented
204#2428C2212yes—
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2424C2214yes—
210#2422C2212yescomplemented
211#2422C2212yescomplemented
212#2422C2212yescomplemented
213#2420C2212yescomplemented
214#2418C2214yescomplemented
215#2418C2214yescomplemented
216#2417C2212yescomplemented
217#2416C2212yes—
218#2416C2212yes—
219#2412C2214yescomplemented
220#2410C2214yes—
221#2408C2212yes—
222#2405C2214yescomplemented
223#2401C2212yescomplemented
224#2398C2212yescomplemented
225#2396C2212yescomplemented
226#2395C2212yescomplemented
227C2×#399C2214yescomplemented
228C2×#397C2214yescomplemented
229C2×#394C2214yescomplemented
230C2×#394C2214yescomplemented
231#2370C2212yescomplemented
232#2369C2211yescharacteristic, complemented
233#2366C2211yescharacteristic, complemented
234#2363C2212yescomplemented
235#2361C2212yescomplemented
236#2360C2214yescomplemented
237#2360C2212yescomplemented
238#2358C2214yescomplemented
239#2354C2211yescharacteristic, complemented
240#2354C2211yescharacteristic, complemented
241#2354C2211yescharacteristic, complemented
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244Q8×C4⋊C4C2211yescharacteristic, complemented
245#2349C2212yes—
246#2349C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252#2345C2212yescomplemented
253#2344C2211yescharacteristic, complemented
254#2344C2211yescharacteristic, complemented
255#2342C2212yescomplemented
256#2342C2212yescomplemented
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2211yescharacteristic
262D4×C22⋊C4C2212yes—
263D4×C22⋊C4C2211yescharacteristic
264D4×C22⋊C4C2212yescomplemented
265#2330C2212yescomplemented
266#2329C2214yescomplemented
267#2324C2212yescomplemented
268#2324C2212yescomplemented
269#2324C2212yescomplemented
270#2323C2212yescomplemented
271#2321C2214yescomplemented
272#2319C2212yescomplemented
273#2314C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×#121C2211yescharacteristic
281C4×#121C2212yescomplemented
282#2295C2211yescharacteristic, complemented
283#2293C2211yescharacteristic, complemented
284#2293C2211yescharacteristic, complemented
285#2293C2211yescharacteristic, complemented
286C2×#390C2212yescomplemented
287C2×#390C2212yescomplemented
288C2×#389C2212yescomplemented
289C2×#389C2212yescomplemented
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293#2280C2212yescomplemented
294C2×#380C2212yescomplemented
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2314yes—
303C24×C4C2312yes—
304#554—28no—
305#554—48no—
306D42—28no—
307D42—48no—
308#542—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×#121—48no—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357#518—48no—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×D4—28no—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×#117—48no—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2314yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2314yes—
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2312yes—
418#401C2314yes—
419#401C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#395C2312yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2312yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2312yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2312yes—
535#393C2312yes—
536#392C2314yes—
537#392C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2314yes—
542#391C2312yes—
543#391C2314yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2311yescharacteristic
581#390C2314yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#383C2314yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2312yes—
763#379C2312yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2311yescharacteristic
812#376C2312yes—
813#376C2311yescharacteristic
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2412yes—
820C25C2414yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—48no—
835C22×D4—48no—
836C22×D4—84no—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2411yescharacteristic
851C23×C4—28no—
852C23×C4—28no—
853C23×C4—44no—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C4⋊Q8—24no—
873C4⋊Q8—42no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876#127—24no—
877#127—44no—
878#126—48no—
879#126—84no—
880#125—28no—
881#125—44no—
882#125—44no—
883#124—42no—
884#124—44no—
885#124—48no—
886#124—84no—
887#124—82no—
888#124—82no—
889#124—84no—
890#123—48no—
891#123—84no—
892#123—84no—
893C22⋊Q8—28no—
894C22⋊Q8—24no—
895C22⋊Q8—216no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—82no—
902C22⋊Q8—84no—
903#121—28no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—48no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—48no—
914#121—48no—
915#121—82no—
916#120—216no—
917#120—48no—
918#120—48no—
919C4×Q8—24no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—82no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—48no—
943C4×D4—82no—
944C4×D4#4118yes—
945#117—24no—
946#117—28no—
947#117—44no—
948#117—44no—
949#117—42no—
950#117—44no—
951#117—44no—
952#117—44no—
953#117—44no—
954#117—44no—
955#117—44no—
956C2×C4⋊C4—28no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—48no—
963C2×C4⋊C4—84no—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C22⋊C4—28no—
1028C2×C22⋊C4—48no—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—44no—
1031C2×C22⋊C4—48no—
1032C2×C22⋊C4—48no—
1033C2×C22⋊C4—84no—
1034C2×C22⋊C4—84no—
1035C2×C22⋊C4—84no—
1036C2×C22⋊C4—84no—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C42—24no—
1109C2×C42—44no—
1110C2×C42—44no—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2414yes—
1139C2×C42C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24—24no—
1203C24—24no—
1204C24—24no—
1205C24—24no—
1206C24—28no—
1207C24—28no—
1208C24—28no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24C2512yes—
1217C24C2512yes—
1218C24C2514yes—
1219C24C2511yescharacteristic
1220C24C2512yes—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—28no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—416no—
1273C2×D4—432no—
1274C2×D4—816no—
1275C2×D4—832no—
1276C2×D4C2×#4114yes—
1277C2×D4H(5,𝔽2)14yes—
1278C2×D42−1+414yes—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—432no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4C2×#4118yes—
1333C22×C4H(5,𝔽2)14yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2514yes—
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4C2×#4114yes—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4C2×#4118yes—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—22no—
1503C42—22no—
1504C42—24no—
1505C42—24no—
1506C42—22no—
1507C42—24no—
1508C42—24no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—42no—
1515C42—42no—
1516C42—42no—
1517C42—42no—
1518C42—44no—
1519C42—41no—
1520C42—44no—
1521C42—41no—
1522C42—44no—
1523C42—41no—
1524C42—41no—
1525C42—44no—
1526C42C2×#4114yes—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—24no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—24no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—24no—
1549C23—22no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—24no—
1555C23—24no—
1556C23—22no—
1557C23—22no—
1558C23—48no—
1559C23—48no—
1560C23—48no—
1561C23—48no—
1562C23—416no—
1563C23—84no—
1564C23—84no—
1565C23—84no—
1566C23—88no—
1567C23—88no—
1568C23—88no—
1569C23—88no—
1570C23—88no—
1571C23—88no—
1572C23C22×#4114yes—
1573C23C2×H(5,𝔽2)12yes—
1574C23C2×H(5,𝔽2)14yes—
1575C23C2×2−1+414yes—
1576C23C2611yescharacteristic
1577Q8—44no—
1578Q8—84no—
1579Q8—84no—
1580Q8—164no—
1581D4—48no—
1582D4—48no—
1583D4—416no—
1584D4—44no—
1585D4—48no—
1586D4—48no—
1587D4—44no—
1588D4—84no—
1589D4—88no—
1590D4—88no—
1591D4—88no—
1592D4—88no—
1593D4—164no—
1594D4#542116yescomplemented
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—28no—
1602C2×C4—216no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—48no—
1679C2×C4—48no—
1680C2×C4—48no—
1681C2×C4—44no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—82no—
1685C2×C4—88no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—88no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—88no—
1692C2×C4—164no—
1693C2×C4—164no—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4114yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4112yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×2−1+412yes—
1702C2×C4#58512yes—
1703C22—24no—
1704C22—24no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—24no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—42no—
1717C22—42no—
1718C22—44no—
1719C22—44no—
1720C22—42no—
1721C22—42no—
1722C22—44no—
1723C22—42no—
1724C22—42no—
1725C22—44no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—44no—
1733C22—42no—
1734C22—42no—
1735C22—44no—
1736C22—42no—
1737C22—816no—
1738C22—1616no—
1739C22C2×#54218yes—
1740C22C23×#4111yescharacteristic
1741C22C22×H(5,𝔽2)11yescharacteristic
1742C22C22×H(5,𝔽2)11yescharacteristic
1743C22C22×2−1+411yescharacteristic
1744C22C2×#58511yescharacteristic
1745C22H(7,𝔽2)11yescharacteristic
1746C22H(7,𝔽2)11yescharacteristic
1747C4—22no—
1748C4—24no—
1749C4—22no—
1750C4—42no—
1751C4—42no—
1752C4—41no—
1753C4—42no—
1754C4—44no—
1755C4—41no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—44no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—44no—
1764C4—41no—
1765C4—42no—
1766C4—41no—
1767C4—41no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4C2×#54214yes—
1776C4#351314yes—
1777C2—28no—
1778C2—42no—
1779C2—82no—
1780C2—84no—
1781C2—82no—
1782C2C22×#54211yescharacteristic
1783C2C2×#351311yescharacteristic
1784C2#6285811yescharacteristic
1785C2#6291211yescharacteristic
1786C2#6292011yescharacteristic
1787C2#6294411yescharacteristic
1788C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42625C2semidirect
2. #42624C2semidirect
3. #42571C2semidirect
4. #42564C2semidirect
5. #40727C2semidirect
6. #40722C2semidirect
7. #40702C2semidirect
8. #40699C2semidirect
9. #39479C2semidirect
10. #39351C2semidirect
11. #39201C2semidirect
12. #39194C2semidirect
13. #38125C2semidirect
14. #38110C2semidirect
15. #37852C2semidirect
16. #37664C2semidirect
17. #37636C2semidirect
18. #37625C2semidirect
19. #37505C2semidirect
20. #37492C2semidirect
21. #36289C2semidirect
22. #36261C2semidirect
23. #36154C2semidirect
25. #35903C2semidirect
26. #35873C2semidirect
27. #35836C2semidirect
28. #35713C2semidirect
29. #35288C2semidirect
30. #35260C2semidirect
31. #34619C2semidirect
32. C2×#2624C2semidirect
33. #34332C2semidirect
34. #34310C2semidirect
35. D4×#117C2semidirect
40. C2×#542C22semidirect
44. C22×#117C22semidirect
45. #2859C22semidirect
46. #2858C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
50. #2850C22semidirect
51. #2848C22semidirect
53. #2838C22semidirect
54. #2837C22semidirect
55. #2832C22semidirect
56. #2830C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2801C22semidirect
60. #2801C22semidirect
61. #2800C22semidirect
62. #2796C22semidirect
63. #2779C22semidirect
64. #2777C22semidirect
65. #2754C22semidirect
66. #2751C22semidirect
67. #2746C22semidirect
68. #2741C22semidirect
69. #2739C22semidirect
70. #2737C22semidirect
71. #2730C22semidirect
72. #2723C22semidirect
73. #2717C22semidirect
74. #2712C22semidirect
75. #2710C22semidirect
76. #2705C22semidirect
77. #2702C22semidirect
78. #2701C22semidirect
79. #2691C22semidirect
80. #2686C22semidirect
81. #2672C22semidirect
82. #2672C22semidirect
83. #2663C22semidirect
84. #2662C22semidirect
85. #2654C22semidirect
86. #2653C22semidirect
87. #2652C22semidirect
88. #2651C22semidirect
89. #2650C22semidirect
90. #2649C22semidirect
91. #2647C22semidirect
92. #2645C22semidirect
93. #2644C22semidirect
94. #2644C22semidirect
95. #2644C22semidirect
96. #2643C22semidirect
97. #2641C22semidirect
98. #2640C22semidirect
99. #2639C22semidirect
100. #2632C22semidirect
101. #2630C22semidirect
102. #2628C22semidirect
103. #2628C22semidirect
104. #2628C22semidirect
105. #2626C22semidirect
106. #2625C22semidirect
109. #2624C22semidirect
110. #2624C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2624C22semidirect
115. #2624C22semidirect
116. #2624C22semidirect
117. #2624C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
120. #2622C22semidirect
122. #2620C22semidirect
123. #2591C22semidirect
124. #2584C22semidirect
125. #2583C22semidirect
126. #2580C22semidirect
127. #2564C22semidirect
128. #2563C22semidirect
129. #2563C22semidirect
130. #2562C22semidirect
131. #2552C22semidirect
132. #2551C22semidirect
133. #2550C22semidirect
134. #2549C22semidirect
135. #2548C22semidirect
136. #2548C22semidirect
137. #2542C22semidirect
139. #2538C22semidirect
141. #2513C22semidirect
142. #2513C22semidirect
143. #2512C22semidirect
144. #2512C22semidirect
145. #2510C22semidirect
146. #2510C22semidirect
147. #2509C22semidirect
148. #2504C22semidirect
149. #2500C22semidirect
150. #2496C22semidirect
151. #2495C22semidirect
152. #2495C22semidirect
153. #2494C22semidirect
154. #2494C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2490C22semidirect
160. #2490C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2487C22semidirect
164. #2487C22semidirect
165. #2485C22semidirect
166. #2481C22semidirect
167. #2480C22semidirect
168. #2480C22semidirect
169. #2480C22semidirect
170. #2479C22semidirect
171. #2477C22semidirect
172. #2474C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2472C22semidirect
178. #2472C22semidirect
179. #2470C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2452C22semidirect
184. #2450C22semidirect
185. #2449C22semidirect
186. #2449C22semidirect
187. #2448C22semidirect
188. #2448C22semidirect
189. #2447C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2444C22semidirect
193. #2443C22semidirect
194. #2442C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
197. #2440C22semidirect
198. #2440C22semidirect
199. #2437C22semidirect
200. #2437C22semidirect
201. #2437C22semidirect
202. #2435C22semidirect
203. #2435C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
210. #2422C22semidirect
211. #2422C22semidirect
212. #2422C22semidirect
213. #2420C22semidirect
214. #2418C22semidirect
215. #2418C22semidirect
216. #2417C22semidirect
219. #2412C22semidirect
222. #2405C22semidirect
223. #2401C22semidirect
224. #2398C22semidirect
225. #2396C22semidirect
226. #2395C22semidirect
227. C2×#399C22semidirect
228. C2×#397C22semidirect
229. C2×#394C22semidirect
230. C2×#394C22semidirect
231. #2370C22semidirect
232. #2369C22semidirect
233. #2366C22semidirect
234. #2363C22semidirect
235. #2361C22semidirect
236. #2360C22semidirect
237. #2360C22semidirect
238. #2358C22semidirect
239. #2354C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. Q8×C4⋊C4C22semidirect
252. #2345C22semidirect
253. #2344C22semidirect
254. #2344C22semidirect
255. #2342C22semidirect
256. #2342C22semidirect
264. D4×C22⋊C4C22semidirect
265. #2330C22semidirect
266. #2329C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2324C22semidirect
270. #2323C22semidirect
271. #2321C22semidirect
272. #2319C22semidirect
273. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
281. C4×#121C22semidirect
282. #2295C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect
286. C2×#390C22semidirect
287. C2×#390C22semidirect
288. C2×#389C22semidirect
289. C2×#389C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2285C22semidirect
293. #2280C22semidirect
294. C2×#380C22semidirect
298. C4×#117C22semidirect
1594. D4#542semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#426252
#426242
#425712
#425642
#407272
#407222
#407022
#406992
#394792
#393512
#392012
#391942
#381252
#381102
#378522
#376642
#376362
#376252
#375052
#374922
#362892
#362612
#361542
D4×#1212
#359032
#358732
#358362
#357132
#352882
#352602
#346192
C2×#26242
#343322
#343102
D4×#1172